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Math Help - values

  1. #1
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    values

    Find values of A, B, C AND R

    x^3 - x^2 -x +12 = (x+2)(Ax^2 + Bx + C) + R


    thanks
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  2. #2
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    Quote Originally Posted by gracey View Post
    Find values of A, B, C AND R

    x^3 - x^2 -x +12 = (x+2)(Ax^2 + Bx + C) + R


    thanks
    x^3-x^2-x+(12-r)=(x+2)(ax^2+bx+c)

    divide LHS by (x+2) you get:
    \frac{x^3-x^2-x+(12-r)}{(x+2)}

    = x^2-3x+5 and a simultaneous equation for r:
    5x+12+R=5x+10 \Rightarrow R=2

    So: A=1, B=-3, C=5 and R=2.
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